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Finding the Third Proportional to 140,058 and 307,326

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Solution

The third proportional to 140,058 and 307,326 is: 674,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,058 : 307,326 = 307,326 : x
  2. Step 2: Convert to fraction form
    140,058/307,326 = 307,326/x
  3. Step 3: Cross multiply
    140,058x = 307,326 × 307,326
  4. Step 4: Simplify right side
    140,058x = 94,449,270,276
  5. Step 5: Solve for x
    x = 94,449,270,276/140,058
  6. Step 6: Final answer
    x = 674,358.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.